"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:M8P1-KJD : 12 April 2016), Catharine Harmon in household of Abraham Harmon, Randolph county, Randolph, Illinois, United States; citing family 1616, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
Find A Grave: Memorial #69062778, accessed 01 February 2020), memorial page for Catherine Harmon Gant (16 Apr 1837–9 Nov 1919), citing Evergreen Cemetery, Chester, Randolph County, Illinois, USA ; Maintained by Barbie Gant (contributor 48532709) .
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Harmon-6406 and Harmon-2959 appear to represent the same person because: Same parents and same birth date and birth location. But the key to knowing these are the same person is all of the duplicate siblings as well as parents. Merge the parents first, then the kids.